`cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0`= (a)`1`(b)` 2` (c)`3 `(d) ` 4`

Four numbers n_1,n_2,n_3a n dn_4 are given as n_1=sin15^0-cos15^0,n_2=cos93^0+sin93^0,n_3=tan27^0-cot27^0,n_4=cot127^0+tan127^0dot n_1<0 (b) n_2<0 (c) n_3<0 (d) n_4<0

cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

Value of (3+cot80^0cot20^0)/(cot80^0+cot20^0) is equal to (a) cot20^0 (b) tan50^0 (c) cot50^0 (d) cotsqrt(20^0)

The value of cot((7pi)/16)+2cot((3pi)/8)+cot((15pi)/16) is (a) 4 (b) 2 (c) -2 (d) -4

Find the value of (cot25^0+cot55^0)/(tan25^0+tan55^0)+(cot55^0+cot100^0)/(tan55^0+tan100^0)+(cot100^0+cot25^0)/(tan100^0+tan25^0)

The value of cot70^0+4cos70^0 is (a) 1/(sqrt(3)) (b) sqrt(3) (c) 2sqrt(3) (d) 1/2

("lim")_(xvec0)(x^4(cot^4x-cot^2x+1)/((tan^4x-tan^2x+1)i se q u a lto 1 (b) 0 (c) 2 (d) none of these

cot((pi)/(4)-2cot^(-1)3)

If e^(cot^(-1)x) Prove that (1+x^(2))y_(2) +(2x + 1)y_(1) = 0 .